A beautiful proof of why slicing a cone gives an ellipse.

A beautiful proof of why slicing a cone gives an ellipse.

Pupil outcome: I can describe an enlargement and perform a given enlargement on an object. Key learning points: - Each length in the shape is multiplied by the scale factor. - Each vertex in the object is a given distance from the centre...

Pupil outcome: I can construct time series graphs. Key learning points: - Time series graphs are a visual representation - Time series graphs plot frequency over time - Consecutive points are joined by straight line segments

Pupil outcome: I can derive and use the theorem: the alternate segment theorem. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments - Theorems can be...

Pupil outcome: I can describe an enlargement. Key learning points: - If the image is the opposite side of the centre of enlargement and rotated 180°, there is a negative scale factor. - If the image has changed size, there has been an...

Pupil outcome: I can interpret scatter graphs. Key learning points: - The distribution of the data points may suggest correlation. - The type of correlation should be interpreted in context. - Correlation does not mean causation.

Pupil outcome: I can use the properties of a rhombus to construct an angle bisector. Key learning points: - A rhombus can be constructed from two congruent isosceles triangles - The diagonals of a rhombus bisect the angles - It is...

Pupil outcome: I can use reasoning to derive the sum of interior angles in multiple ways. Key learning points: - Not all vertices of component shapes contribute to the sum of the interior angles of a composite shape. - A numerical...

Pupil outcome: I can identify congruent triangles and prove why they are congruent. Key learning points: - If two triangles are congruent, then one of the proven criteria must apply. - By stating the criteria (that you have already...

Pupil outcome: I can find the perimeter of many polygons or compound shapes. Key learning points: - The perimeter of any polygon can be found by summing the sides. - The perimeter of shapes made from polygons can be found. - Some methods...

Pupil outcome: I can calculate perimeter and area of shapes on coordinate grids. Key learning points: - Shapes on coordinate grids do not often have their measurements clearly written. - Instead, you are expect to calculate the desired...

Pupil outcome: I can generate coordinate pairs for a quadratic graph from its equation and then draw the graph. Key learning points: - A table of values can be useful to identify coordinate pairs which satisfy the equation. - By...

Pupil outcome: I can confidently calculate with angles at a point, angles on a line and vertically opposite angles. Key learning points: - Angles that meet around a point sum to 360° - Angles that make a straight line sum to 180° -...

Pupil outcome: I can calculate time intervals and speed of sections of a distance-time graph. Key learning points: - On a distance-time graph, a horizontal line means no distance was travelled for that time. - A slanted line means that...

Pupil outcome: I can interpret and draw other real-life graphs. Key learning points: - Not all real-life graphs can be drawn using sections of different linear graphs. - The graphs are models, which means that we want them to be useful....

Pupil outcome: I can recognise that similar shapes have sides in proportion to each other but angle sizes are preserved. Key learning points: - Two shapes are not similar if there is a pair of lengths with a different multiplicative...

Pupil outcome: I can recognise that a pair of parallel lines traversed by a straight line produces supplementary co-interior angles. Key learning points: - Co-interior angles can be identified in an arrangement of 3 line segments. - If...

By the end of this learning object, the student will be able to: Recognize the congruent meaning at line segment, angles, polygons, and the real life shapes.4596

Mr. Addit defines the terms; plane, figure, triangle, quadrilateral, pentagon, hexagon, octagon, polygon, rhombus, parallelogram, and trapezoid.

Mr. Addit reviews geometry fundamentals including: points, lines, line segments, rays, perpendicular and parallel lines, acute, obtuse, and right angles, and isosceles, scalene, and equilateral triangles. He also reviews polygons...

You could say that angles are some of the building blocks of geometry, and you've probably already seen lots of examples of angles in your life already. In this lesson, we'll go over the exact definition of an angle, how to name an...

When you hear the word "geometry", you might think of shapes. And you wouldn't be wrong! But before we can get to shapes, we need to talk about the parts that can make up shapes, like points, lines, rays, and line segments. In this...

The answer is no, you cannot always tell the time on this clock, but most of the time you can. There are 132 moments/configurations in a 12 hour period where you wouldn't know the time because at those moments either hand could be the...